6,818 research outputs found
A piece-wise affine contracting map with positive entropy
We construct the simplest chaotic system with a two-point attractor.Comment: 2 page
Rapidity correlations of protons from a fragmented fireball
We investigate proton rapidity correlations for a fireball that fragments due
to non-equilibrium effects at the phase transition from deconfined to hadronic
phase. Such effects include spinodal fragmentation in case of first order phase
transition at lower collision energies, and cavitation due to sudden rise of
the bulk viscosity at the crossover probed at RHIC and the LHC. Our study is
performed on samples of Monte Carlo events. Correlation function in relative
rapidity appears to be a sensitive probe of fragmentation. We show that
resonance decays make the strength of the correlation even stronger.Comment: 7 pages, 6 figure
Covers of Multiplicative Groups of Algebraically Closed Fields of Arbitrary Characteristic
We show that algebraic analogues of universal group covers, surjective group
homomorphisms from a -vector space to with "standard
kernel", are determined up to isomorphism of the algebraic structure by the
characteristic and transcendence degree of and, in positive characteristic,
the restriction of the cover to finite fields. This extends the main result of
"Covers of the Multiplicative Group of an Algebraically Closed Field of
Characteristic Zero" (B. Zilber, JLMS 2007), and our proof fills a hole in the
proof given there.Comment: Version accepted by the Bull. London Math. So
Anisotropic flow from hard partons in ultra-relativistic nuclear collisions
Anisotropies of hadronic distribution in nuclear collisions are used for
determination of properties of the nuclear matter. At the LHC it is important
to account for the contribution to the flow due to momentum transferred from
hard partons to the quark-gluon plasma.Comment: 4 pages, proceedings of PANIC 2014 conference, Hamburg, Aug.201
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